On the Irrotational Approximation to Adiabatic Chaplygin Gas Dynamic System  

作　　者：LI WANG 

机构地区：[1]Department of Mathematics and Physics, Shanghai Dianji University

出　　处：《Acta Mathematicae Applicatae Sinica》2018年第2期416-429,共14页应用数学学报（英文版）

基　　金：Supported by the TianYuan Special Funds of the National Natural Science Foundation of China(Grant No.11226171);Discipline construction of equipment manufacturing system optimization calculation(Grant No.13XKJC01)

摘　　要：In this paper we mainly study the difference of the weak solutions generated by a wave front tracking algorithm for the steady adiabatic Chaplygin gas dynamic system and the steady irrotational system. Under the hypothesis that the initial data are of sufficiently small total variation, we prove that the difference between the solutions to these two systems can be bounded by the cube of the total variation of the initial perturbation.In this paper we mainly study the difference of the weak solutions generated by a wave front tracking algorithm for the steady adiabatic Chaplygin gas dynamic system and the steady irrotational system. Under the hypothesis that the initial data are of sufficiently small total variation, we prove that the difference between the solutions to these two systems can be bounded by the cube of the total variation of the initial perturbation.

关 键 词：irrotational approximation adiabatic Chaplygin gas dynamic system SEMIGROUP 

分 类 号：O19[理学—数学]